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Answered

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Sagot :

tarin12990
144 square cm
Do the Pythagorean theorem
Since sTUV is a square one side is 13 cm
So 5^2 + x^2 = 13^2
25+ x^2 = 169
x^2 = 144
So side rv is 12 cm
Since pqrv is a square you square 12 cm and get 144 square cm for the area.
SDCInfinity

Answer:

144 cm²

Step-by-step explanation:

Finding square STUV's side lengths:

Square the area of square STUV to find the side lengths.

√169 = 13

Therefore, the side lengths of square STUV are 13 cm.

Finding triangle VRS last side length:

Since we now have 2 out of 3 side lengths for triangle VRS and it's a right triangle, we can use Pythagorean Theorem to find the last leg.

a² + b² = c²

a² + 5² = 13²

a² + 25 = 169

a² = 144

√a² = √144

a = 12

Therefore, the last side length is 12 cm.

Square PQRV's area:

Now that we know the side length of square PQRV is 12 cm, simply square the value to find the area.

12² = 144

Therefore, the area of square PQRV is 144 cm².

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